21451001532400 has 180 divisors, whose sum is σ = 57197027117776. Its totient is φ = 7724630707200.

The previous prime is 21451001532391. The next prime is 21451001532509. The reversal of 21451001532400 is 423510015412.

It is a super-3 number, since 3×21451001532400³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2833732 + ... + 7136668.

Almost surely, 2^{21451001532400} is an apocalyptic number.

21451001532400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21451001532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28598513558888).

21451001532400 is an abundant number, since it is smaller than the sum of its proper divisors (35746025585376).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21451001532400 is a wasteful number, since it uses less digits than its factorization.

21451001532400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4303080 (or 4303058 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

Adding to 21451001532400 its reverse (423510015412), we get a palindrome (21874511547812).

The spelling of 21451001532400 in words is "twenty-one trillion, four hundred fifty-one billion, one million, five hundred thirty-two thousand, four hundred".